Question

Which of the following is equivalent to log 4 32 ?
Answer
A)8
B)2.5
C)0.4
D)1.726

Answer 1

\[\log_4(16)=x\iff 4^x=16\implies x=2\]

Answer 2

oops you had 32!!

Answer 3

B)2.5

4^x = 32
(2^2) ^x = 2^5
2^(2x) = 2^5
2x = 5
x = 5/2 = 2.5

Answer 4

\[\log_4(32)=x\iff 4^x=32\implies 2^{2x}=32\implies 2x=5\implies x=\frac{5}{2}\]

Answer 5

Thank you guys!

Answer 6

We're glad to help.